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Imagine an object of mass M pushed by a force F, so it accelerates. Now assume the mass is changed to 3 times the original, and the net force acting on the object is 4 times the original. How many times the original acceleration does the object have now?

A) 3 times.
B) 4 times.
C) 6 times.
D) 12 times.

1 Answer

3 votes

Final answer:

The object now has 4/3 times the original acceleration.

Step-by-step explanation:

The acceleration of the object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, the mass of the object is changed to 3 times the original and the net force is 4 times the original. Since acceleration is directly proportional to the net force and inversely proportional to mass, the new acceleration will be:

New acceleration = (4 times the original force) / (3 times the original mass)

Substituting the given values into the equation, we get:

New acceleration = (4 * original acceleration) / (3)

Therefore, the object now has 4/3 times the original acceleration.

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